Find the missing number in the series:

$$9, 19, 39, 79, ?, 319$$

Question

Find the missing number in the series:

$$9, 19, 39, 79, ?, 319$$

Accepted Answer

**Solution:**

1. Observe the pattern between consecutive terms:
   - Multiply the current term by 2 and then add 1 to get the next term.

2. Verify the pattern step-by-step:
   - $9 	imes 2 + 1 = 19$
   - $19 	imes 2 + 1 = 39$
   - $39 	imes 2 + 1 = 79$

3. Find the missing term:
   - $79 	imes 2 + 1 = 159$

4. Check the next term to confirm:
   - $159 	imes 2 + 1 = 319$

**Answer:** $159$

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